Minji Kang - Research 1

Minji Kang, Devanand, and Jinsu Kim, Structural Properties of Biochemical Systems preventing Turing Instability, Poster session on Korean Mathematical Sociaty, 2024. 대한수학회 우수포스터 대상(Poster Grand Prize)

Here are some interactive simulation of models.

I used Visual PDE simulator to create interactive model. You could click the name of the model to watch the formation of pattern by yourself.The explicit equation of model is contained on the poster.Here I used Neumann boundary condition.

1.video.mp4

[Grey-Scott which produces pattern]

a= 0.037, b=0.06, Du=1, Dv=2 express Turing pattern form Labyrinthine.

2.video.mp4

[Grey-Scott which does not produce pattern]

a= 0.03, b=0.05, Du=1, Dv=2 does not produce Turing pattern.

3.video.mp4

This model can't produce Turing pattern whatever the rate constant and diffusion coefficients are.

Here I used k1=0.3 k2=0.06 Du=1 Dv=10 as an example.

4.video.mp4

This model can't produce Turing pattern whatever the rate constant and diffusion coefficients are.

k1=0.006 , k2=0.3, k3=0.06 Du=1 , Dv=10 , as an example.

5.video.mp4

This model can't produce Turing pattern whatever the rate constant and diffusion coefficients are.

Here I used k1=0.3 , k2=0.6 , k3=0.25, k4=0.01 Du=1 , Dv=10 , as an example.

6.video.mp4

[Deficiency 1, non-weakly reversible Model]

k1= 0.01, k2=1, k3=2, k4=1, Du=1, Dv=100 express Turing pattern form Spot.

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